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Finding the Fourth Proportional to 4,258.76, 5,877.78 and 3,559.88

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Solution

The fourth proportional to 4,258.76, 5,877.78 and 3,559.88 is: 4,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.76 : 5,877.78 = 3,559.88 : x
  2. Step 2: Convert to fraction form
    4,258.76/5,877.78 = 3,559.88/x
  3. Step 3: Cross multiply
    4,258.76x = 5,877.78 × 3,559.88
  4. Step 4: Simplify right side
    4,258.76x = 20,924,191.47
  5. Step 5: Solve for x
    x = 20,924,191.47/4,258.76
  6. Step 6: Final answer
    x = 4,913.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.